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Before adding with a smile: ‘I mean, she’s just got this ball of energy and she radiates this little aura, Heath was kind of like that. So it’s fabulous really.’

The Perth local also sung Michelle’s praises and congratulated the actress, who dated Heath from 2004 until 2007 and was engaged to the actor, for keeping his son’s memory present.

A tender moment: A young Matilda lovingly clings onto her father's leg during an outing in New York in 2007

All grown up! These days Matilda divides her time between LA and New York, where she lives with mother Michelle

‘Michelle’s been brilliant. She’s kept Heath very much alive in her daughter’s eyes,’ he told the show’s panel.

‘She’s always full of questions, always wanting to know this or that about her dad. And I guess that will just get more intense as she gets older and obviously we would welcome that.’

For now, Kim and his family keep in touch with Matilda via Skype sessions and visits to America but the mining engineer said once his granddaughter is old enough to travel by herself, she’d be most welcome to come to Australia.

A strong bond: Matilda, pictured here with the actor in New York in September 2007, was the apple of her father's eye

A beautiful legacy: 'She’s got an enormous number of his mannerisms. She’s very inquisitive, she’s got his energy,' the Perth local said of Matilda during an appearance on The Project

‘We can talk to her on Skype a little bit, family members visit her regularly,’ the devoted family man said.

Since Heath’s untimely passing, Kim has become a passionate campaigner trying to raise awareness about the risks of prescription drugs.

This week he was made the patron of not-for-profit organisation Scriptwise, which will raise awareness about the dangers and solutions to prescription drug abuse.

Raising her well: 'Michelle’s been brilliant. She’s kept Heath very much alive in her daughter’s eyes,' the charity campaigner said of Heath's former fiance Michelle Williams

Tireless campaigner: Mr Ledger was today revealed to be the patron of the new not-for-profit organisation Scriptwise

Speaking about his son’s tragic plight, Kim credited the actor’s demanding work schedule on what would be his last role in The Imaginarium of Doctor Parnassus for wearing him down.

‘In Heath’s particular case, he was having to travel a lot between Vancouver, London, New York – all within the space of a short time. He was also suffering a bad chest infection and he couldn’t sleep as a result of that.’

‘He’s called into a couple of doctors, complained about his problem, he has a reasonable profile, they don’t question anything and he’s taken a mixture of these drugs and then on top of that a sleeping tablet and he’s gone to sleep,' Kim said of Heath's fateful last days.

However with the help of Scriptwise, Kim hopes to change the public’s mentality towards prescription drugs and prevent more unnecessary deaths from occurring.

The way they were: The family of three lived in Brooklyn before Heath and Michelle ended their relationship

Lasting memory: In 2009 the 28-year-old was awarded a posthumous Oscar for his role as the Joker in The Dark Knight

‘I think it’s lack of education, at the end of the day I guess there’s a feeling out there that if the doctor prescribes it, it’s okay. If you’re not across the type of effect that mixing these drugs can have obviously it can have a very detrimental effect.

‘I made this organisation because I was approached by families that were in the same situation that we were, that we found ourselves in accidentally.’

Heath was laid to rest in February 2008 in his hometown of Perth with an intimate funeral which was capped off by guests, including Michelle Williams, Cate Blanchett and Gemma Ward, plunging into the water for a swim at his beloved Cottesloe Beach.

In 2009 the 28-year-old was awarded a posthumous Oscar for his moving role as the Joker in The Dark Knight.

A heartbreaking goodbye: Heath, pictured here in 2001, was laid to rest in February 2008 in his hometown of Perth

Gone too soon: 'In Heath’s particular case, he was having to travel a lot between Vancouver, London, New York - all within the space of a short time,' Kim explained